Add 75/27 and 12/21
1st number: 2 21/27, 2nd number: 12/21
75/27 + 12/21 is 211/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
12/21 = 12 × 9/21 × 9 = 108/189 - Add the two like fractions:
525/189 + 108/189 = 525 + 108/189 = 633/189 - 633/189 simplified gives 211/63
- So, 75/27 + 12/21 = 211/63
In mixed form: 322/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/27+24/21 75/54+12/21 75/27+12/42 75/27+36/21 75/81+12/21 75/27+12/63 75/27+60/21 75/27+84/21